Foundations of Logical Consequence
Colin R. Caret and Ole T. Hjortland
Abstract
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, e.g. how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? The present volume collects together thirteen chapters by some of the most important scholars in the field of philosophical logic, selected from the wealth of contributions made to the AHRC funded Foundations of Logical Conseq ... More
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, e.g. how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? The present volume collects together thirteen chapters by some of the most important scholars in the field of philosophical logic, selected from the wealth of contributions made to the AHRC funded Foundations of Logical Consequence project. These chapters offer new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Keywords:
logical consequence,
validity,
semantics,
pragmatics,
models,
proofs,
truth,
inference,
rationality,
consistency
Bibliographic Information
| Print publication date: 2015 |
Print ISBN-13: 9780198715696 |
| Published to Oxford Scholarship Online: June 2015 |
DOI:10.1093/acprof:oso/9780198715696.001.0001 |
Authors
Affiliations are at time of print publication.
Colin R. Caret, editor
Yonsei University
Ole T. Hjortland, editor
University of Bergen
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